Question

√5+√3i÷√5-√3i simplify the following and express in the form a+ib

Answer 1

Answer:

First rationalise the given equation

• Then solve the square
• Compare the value of
• A and b

Answer 2

$\:\: \underline{\underline{\bf{\large\mathfrak{~~solution~~}}}}$

$= \frac{ \sqrt{5} + 3i }{ \sqrt{5} - 3i} \\ = \frac{( \sqrt{5} + 3i) {}^{2} }{( \sqrt{5} - 3i)( \sqrt{5} + 3i) } \\ = \frac{5 + 6 \sqrt{5} i - 9}{5 + 9} \\ = \frac{ - 4 + 6 \sqrt{5}i }{14} \\ = - \frac{2}{7} + \frac{3}{7} \sqrt{5} i$